Nandi, Raju; Sivakumar, K. C. Group inverses of a class of corona networks. (English) Zbl 07803446 Comput. Appl. Math. 43, No. 1, Paper No. 38, 17 p. (2024). MSC: 05C20 15A09 PDFBibTeX XMLCite \textit{R. Nandi} and \textit{K. C. Sivakumar}, Comput. Appl. Math. 43, No. 1, Paper No. 38, 17 p. (2024; Zbl 07803446) Full Text: DOI
Mondal, Samir; Sivakumar, K. C.; Tsatsomeros, Michael The Cayley transform of prevalent matrix classes. (English) Zbl 07796452 Linear Algebra Appl. 681, 1-20 (2024). MSC: 15A23 15B48 15B57 15B10 15A24 15A18 PDFBibTeX XMLCite \textit{S. Mondal} et al., Linear Algebra Appl. 681, 1--20 (2024; Zbl 07796452) Full Text: DOI
Bueno Cachadina, Maria Isabel; Furtado, Susana; Sivakumar, K. C. Singular linear preservers of majorization and cone type majorization. (English) Zbl 1527.15031 Linear Multilinear Algebra 71, No. 16, 2631-2644 (2023). MSC: 15A86 15A09 15A23 PDFBibTeX XMLCite \textit{M. I. Bueno Cachadina} et al., Linear Multilinear Algebra 71, No. 16, 2631--2644 (2023; Zbl 1527.15031) Full Text: DOI
Chatterjee, Manami; Sivakumar, K. C. On the Hadamard product \(A \circ A^{\#}\), for a singular \(M\)-matrix \(A\). (English) Zbl 1519.15008 Linear Multilinear Algebra 71, No. 12, 1922-1932 (2023). MSC: 15A18 15A09 PDFBibTeX XMLCite \textit{M. Chatterjee} and \textit{K. C. Sivakumar}, Linear Multilinear Algebra 71, No. 12, 1922--1932 (2023; Zbl 1519.15008) Full Text: DOI
Baksalary, Oskar Maria; Sivakumar, K. C.; Trenkler, Götz On the Moore-Penrose inverse of a sum of matrices. (English) Zbl 1518.15002 Linear Multilinear Algebra 71, No. 2, 133-149 (2023). MSC: 15A09 15A10 15A24 15B57 PDFBibTeX XMLCite \textit{O. M. Baksalary} et al., Linear Multilinear Algebra 71, No. 2, 133--149 (2023; Zbl 1518.15002) Full Text: DOI
Mondal, Samir; Sivakumar, K. C. A short survey of \(Z\)-matrices and new results on the subclass of \(F_0\)-matrices. arXiv:2305.05547 Preprint, arXiv:2305.05547 [math.RA] (2023). MSC: 15A48 15A09 BibTeX Cite \textit{S. Mondal} and \textit{K. C. Sivakumar}, ``A short survey of $Z$-matrices and new results on the subclass of $F_0$-matrices'', Preprint, arXiv:2305.05547 [math.RA] (2023) Full Text: arXiv OA License
Sivakumar, K. C.; Sushmitha, P.; Tsatsomeros, M. \(Q_{\#}\)-matrices and \(Q_†\)-matrices: two extensions of the \(Q\)-matrix concept. (English) Zbl 1512.15001 Linear Multilinear Algebra 70, No. 21, 6947-6964 (2022). MSC: 15A06 15A39 15A09 90C33 PDFBibTeX XMLCite \textit{K. C. Sivakumar} et al., Linear Multilinear Algebra 70, No. 21, 6947--6964 (2022; Zbl 1512.15001) Full Text: DOI
Mondal, Samir; Sivakumar, K. C.; Tsatsomeros, Michael New results on \(M\)-matrices, \(H\)-matrices and their inverse classes. (English) Zbl 1505.15031 Electron. J. Linear Algebra 38, 729-744 (2022). MSC: 15B48 15A23 15A09 15A18 PDFBibTeX XMLCite \textit{S. Mondal} et al., Electron. J. Linear Algebra 38, 729--744 (2022; Zbl 1505.15031) Full Text: Link
Nandi, R.; Sivakumar, K. C. Group inverses of matrices of directed trees. (English) Zbl 1500.05038 Electron. J. Linear Algebra 38, 617-631 (2022). MSC: 05C50 05C75 05C20 05C70 15A09 PDFBibTeX XMLCite \textit{R. Nandi} and \textit{K. C. Sivakumar}, Electron. J. Linear Algebra 38, 617--631 (2022; Zbl 1500.05038) Full Text: Link
Sivakumar, K. C.; Nandi, Raju Group inverses of adjacency matrices of cycles, wheels and brooms. (English) Zbl 1513.05257 Comput. Appl. Math. 41, No. 5, Paper No. 196, 18 p. (2022). MSC: 05C50 15A09 PDFBibTeX XMLCite \textit{K. C. Sivakumar} and \textit{R. Nandi}, Comput. Appl. Math. 41, No. 5, Paper No. 196, 18 p. (2022; Zbl 1513.05257) Full Text: DOI
Mcdonald, Judith; Nandi, Raju; Sivakumar, K. C. Group inverses of matrices associated with certain graph classes. (English) Zbl 1486.05120 Electron. J. Linear Algebra 38, 204-220 (2022). MSC: 05C20 05C50 05C75 15A09 PDFBibTeX XMLCite \textit{J. Mcdonald} et al., Electron. J. Linear Algebra 38, 204--220 (2022; Zbl 1486.05120) Full Text: Link
Choudhury, Projesh Nath; Sivakumar, K. C. Nesbitt and Shapiro cyclic sum inequalities for positive definite matrices. (English) Zbl 1486.15027 Adv. Oper. Theory 7, No. 1, Paper No. 7, 11 p. (2022). MSC: 15A45 47A63 15B57 26D15 PDFBibTeX XMLCite \textit{P. N. Choudhury} and \textit{K. C. Sivakumar}, Adv. Oper. Theory 7, No. 1, Paper No. 7, 11 p. (2022; Zbl 1486.15027) Full Text: DOI arXiv
Kalauch, A.; Lavanya, S.; Sivakumar, K. C. Singular irreducible \(M\)-operators on ordered Banach spaces. (English) Zbl 1487.47066 J. Anal. 29, No. 2, 407-423 (2021). MSC: 47B60 15B48 46B40 47B65 PDFBibTeX XMLCite \textit{A. Kalauch} et al., J. Anal. 29, No. 2, 407--423 (2021; Zbl 1487.47066) Full Text: DOI
Bueno, M. I.; Furtado, S.; Sivakumar, K. C. Linear maps preserving the Lorentz-cone spectrum in certain subspaces of \(M_n\). (English) Zbl 1472.15039 Banach J. Math. Anal. 15, No. 3, Paper No. 58, 20 p. (2021). Reviewer: Hayden Julius (Kent) MSC: 15A86 15A04 15A21 15A18 15B48 58C40 PDFBibTeX XMLCite \textit{M. I. Bueno} et al., Banach J. Math. Anal. 15, No. 3, Paper No. 58, 20 p. (2021; Zbl 1472.15039) Full Text: DOI
Sivakumar, K. C.; Parameswaran, Sushmitha; Wendler, Megan Karamardian matrices: an analogue of \(Q\)-matrices. (English) Zbl 1465.15023 Electron. J. Linear Algebra 37, 127-155 (2021). MSC: 15A39 15A06 15A09 15B99 PDFBibTeX XMLCite \textit{K. C. Sivakumar} et al., Electron. J. Linear Algebra 37, 127--155 (2021; Zbl 1465.15023) Full Text: arXiv Link
Choudhury, Projesh Nath; Sivakumar, K. C. Matrices with positive semidefinite real part. (English) Zbl 1461.15034 Linear Multilinear Algebra 69, No. 3, 448-470 (2021). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 15B48 15A09 15A45 PDFBibTeX XMLCite \textit{P. N. Choudhury} and \textit{K. C. Sivakumar}, Linear Multilinear Algebra 69, No. 3, 448--470 (2021; Zbl 1461.15034) Full Text: DOI
Kalauch, A.; Lavanya, S.; Sivakumar, K. C. Matrices whose group inverses are \(M\)-matrices. (English) Zbl 1459.15007 Linear Algebra Appl. 614, 44-67 (2021). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 PDFBibTeX XMLCite \textit{A. Kalauch} et al., Linear Algebra Appl. 614, 44--67 (2021; Zbl 1459.15007) Full Text: DOI
Chatterjee, Manami; Sivakumar, K. C. Intervals of \(H\)-matrices and inverse \(M\)-matrices. (English) Zbl 1458.15006 Linear Algebra Appl. 614, 24-43 (2021). MSC: 15A09 15A10 15B48 PDFBibTeX XMLCite \textit{M. Chatterjee} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 614, 24--43 (2021; Zbl 1458.15006) Full Text: DOI
Choudhury, Projesh Nath; Eagambaram, N.; Sivakumar, K. C.; Sushmitha, P. On the matrix class \(Q_0\) and inverse monotonicity properties of bordered matrices. (English) Zbl 1458.15063 Linear Algebra Appl. 612, 206-222 (2021). MSC: 15B99 PDFBibTeX XMLCite \textit{P. N. Choudhury} et al., Linear Algebra Appl. 612, 206--222 (2021; Zbl 1458.15063) Full Text: DOI
McDonald, J. J.; Nandi, R.; Sivakumar, K. C.; Sushmitha, P.; Tsatsomeros, M. J.; Wendler, Enzo; Wendler, Megan M-matrix and inverse M-matrix extensions. (English) Zbl 1457.15033 Spec. Matrices 8, 186-203 (2020). Reviewer: Francisco Marcellán (Leganes) MSC: 15B48 15A23 15A09 15A18 PDFBibTeX XMLCite \textit{J. J. McDonald} et al., Spec. Matrices 8, 186--203 (2020; Zbl 1457.15033) Full Text: DOI
Chatterjee, Manami; Sivakumar, K. C. Group inverses of \(\{0,1\}\)-triangular matrices and Fibonacci numbers. arXiv:2005.11927 Preprint, arXiv:2005.11927 [math.CO] (2020). MSC: 15A09 15B36 BibTeX Cite \textit{M. Chatterjee} and \textit{K. C. Sivakumar}, ``Group inverses of $\{0,1\}$-triangular matrices and Fibonacci numbers}\\'', Preprint, arXiv:2005.11927 [math.CO] (2020) Full Text: arXiv OA License
Sivakumar, K. C. When is \((A+B)^{\dagger}=A^{\dagger}+B^{\dagger}\)? arXiv:2005.07309 Preprint, arXiv:2005.07309 [math.FA] (2020). MSC: 15A09 BibTeX Cite \textit{K. C. Sivakumar}, ``When is $(A+B)^{\dagger}=A^{\dagger}+B^{\dagger}$?'', Preprint, arXiv:2005.07309 [math.FA] (2020) Full Text: arXiv OA License
Chatterjee, Manami; Sivakumar, K. C. Inequalities for group invertible \(H\)-matrices. (English) Zbl 1415.15020 Linear Algebra Appl. 576, 158-180 (2019). MSC: 15A45 15B48 15A09 PDFBibTeX XMLCite \textit{M. Chatterjee} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 576, 158--180 (2019; Zbl 1415.15020) Full Text: DOI
Chatterjee, Manami; Sivakumar, K. C. Inverse \(H\)-matrices. (English) Zbl 1414.15003 Linear Algebra Appl. 572, 1-31 (2019). MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{M. Chatterjee} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 572, 1--31 (2019; Zbl 1414.15003) Full Text: DOI
Kalauch, A.; Lavanya, S.; Sivakumar, K. C. Singular irreducible \(M\)-matrices revisited. (English) Zbl 1410.15059 Linear Algebra Appl. 565, 47-64 (2019). MSC: 15B48 PDFBibTeX XMLCite \textit{A. Kalauch} et al., Linear Algebra Appl. 565, 47--64 (2019; Zbl 1410.15059) Full Text: DOI
Kalauch, A.; Lavanya, S.; Sivakumar, K. C. \(M\)-operators on partially ordered Banach spaces. (English) Zbl 1454.47048 Adv. Oper. Theory 4, No. 2, 481-496 (2019). MSC: 47B60 15B48 46B40 47B65 PDFBibTeX XMLCite \textit{A. Kalauch} et al., Adv. Oper. Theory 4, No. 2, 481--496 (2019; Zbl 1454.47048) Full Text: DOI Euclid
Choudhury, Projesh Nath; Kannan, Rajesh; Sivakumar, K. C. A note on linear preservers of semipositive and minimally semipositive matrices. (English) Zbl 1405.15036 Electron. J. Linear Algebra 34, 687-694 (2018). MSC: 15A86 15B48 PDFBibTeX XMLCite \textit{P. N. Choudhury} et al., Electron. J. Linear Algebra 34, 687--694 (2018; Zbl 1405.15036) Full Text: arXiv
Choudhury, Projesh Nath; Kannan, Rajesh M.; Sivakumar, K. C. New contributions to semipositive and minimally semipositive matrices. (English) Zbl 1390.15109 Electron. J. Linear Algebra 34, 35-53 (2018). MSC: 15B48 15A09 PDFBibTeX XMLCite \textit{P. N. Choudhury} et al., Electron. J. Linear Algebra 34, 35--53 (2018; Zbl 1390.15109)
Bisht, Kavita; Sivakumar, K. C. Vanishing pseudo-Schur complements, reverse order laws, absorption laws and inheritance properties. (English) Zbl 1390.15007 Linear Multilinear Algebra 66, No. 1, 167-183 (2018). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 15A24 PDFBibTeX XMLCite \textit{K. Bisht} and \textit{K. C. Sivakumar}, Linear Multilinear Algebra 66, No. 1, 167--183 (2018; Zbl 1390.15007) Full Text: DOI arXiv
Sivakumar, K. C.; Tsatsomeros, M. J. Semipositive matrices and their semipositive cones. (English) Zbl 1390.15113 Positivity 22, No. 1, 379-398 (2018). MSC: 15B48 90C33 15A23 15A09 PDFBibTeX XMLCite \textit{K. C. Sivakumar} and \textit{M. J. Tsatsomeros}, Positivity 22, No. 1, 379--398 (2018; Zbl 1390.15113) Full Text: DOI
Jeyaraman, I.; Bisht, Kavita; Sivakumar, K. C. Extensions of \(P\)-property, \(R_0\)-property and semidefinite linear complementarity problems. (English) Zbl 1474.90479 Yugosl. J. Oper. Res. 27, No. 2, 135-151 (2017). MSC: 90C33 15A09 90C22 90C05 PDFBibTeX XMLCite \textit{I. Jeyaraman} et al., Yugosl. J. Oper. Res. 27, No. 2, 135--151 (2017; Zbl 1474.90479) Full Text: DOI
Choudhury, Projesh Nath; Sivakumar, K. C. Trace inequalities for positive semidefinite matrices. (English) Zbl 1463.15045 Discuss. Math., Gen. Algebra Appl. 37, No. 1, 93-104 (2017). MSC: 15A45 15A09 15A15 PDFBibTeX XMLCite \textit{P. N. Choudhury} and \textit{K. C. Sivakumar}, Discuss. Math., Gen. Algebra Appl. 37, No. 1, 93--104 (2017; Zbl 1463.15045) Full Text: DOI
Choudhury, Projesh Nath; Sivakumar, K. C. An extension of a matrix inequality of Thompson. (English) Zbl 1375.15030 Linear Algebra Appl. 535, 151-159 (2017). MSC: 15A42 15B48 PDFBibTeX XMLCite \textit{P. N. Choudhury} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 535, 151--159 (2017; Zbl 1375.15030) Full Text: DOI
Bisht, Kavita; Sivakumar, K. C. Inheritance and inverse monotonicity properties of copositive matrices. (English) Zbl 1360.15006 Linear Multilinear Algebra 65, No. 5, 897-908 (2017). MSC: 15A09 15B48 15B57 PDFBibTeX XMLCite \textit{K. Bisht} and \textit{K. C. Sivakumar}, Linear Multilinear Algebra 65, No. 5, 897--908 (2017; Zbl 1360.15006) Full Text: DOI
Jeyaraman, I.; Sivakumar, K. C. Complementarity properties of singular \(M\)-matrices. (English) Zbl 1352.15004 Linear Algebra Appl. 510, 42-63 (2016). MSC: 15A09 90C33 PDFBibTeX XMLCite \textit{I. Jeyaraman} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 510, 42--63 (2016; Zbl 1352.15004) Full Text: DOI
Reddy, K. Appi; Kurmayya, T.; Sivakumar, K. C. Group inverse extensions of certain \(M\)-matrix properties. (English) Zbl 1375.15004 Electron. J. Linear Algebra 31, 686-705 (2016). MSC: 15A09 15A60 PDFBibTeX XMLCite \textit{K. A. Reddy} et al., Electron. J. Linear Algebra 31, 686--705 (2016; Zbl 1375.15004) Full Text: DOI
Shivakumar, P. N; Sivakumar, K. C.; Zhang, Yang Infinite matrices and their recent applications. (English) Zbl 1355.15001 Cham: Springer (ISBN 978-3-319-30179-2/hbk; 978-3-319-30180-8/ebook). x, 118 p. (2016). Reviewer: Cyril Fischer (Praha) MSC: 15-02 15B33 15A09 15A06 90C05 47A50 15A18 15B48 65F30 PDFBibTeX XMLCite \textit{P. N Shivakumar} et al., Infinite matrices and their recent applications. Cham: Springer (2016; Zbl 1355.15001) Full Text: DOI
Bisht, Kavita; G., Ravindran; Sivakumar, K. C. Pseudo Schur complements, pseudo principal pivot transforms and their inheritance properties. (English) Zbl 1326.15007 Electron. J. Linear Algebra 30, 455-477 (2015). MSC: 15A09 15B48 65F05 PDFBibTeX XMLCite \textit{K. Bisht} et al., Electron. J. Linear Algebra 30, 455--477 (2015; Zbl 1326.15007) Full Text: arXiv
Meenakshi, Ar.; Choudhury, Projesh Nath; Sivakumar, K. C. Almost definite matrices revisited. (English) Zbl 1326.15010 Electron. J. Linear Algebra 29, 102-119 (2015). MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{Ar. Meenakshi} et al., Electron. J. Linear Algebra 29, 102--119 (2015; Zbl 1326.15010) Full Text: DOI
Choudhury, Projesh Nath; Sivakumar, K. C. Tucker’s theorem for almost skew-symmetric matrices and a proof of Farkas’ lemma. (English) Zbl 1321.15059 Linear Algebra Appl. 482, 55-69 (2015). MSC: 15B57 15A09 15A39 PDFBibTeX XMLCite \textit{P. N. Choudhury} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 482, 55--69 (2015; Zbl 1321.15059) Full Text: DOI
Jose, Shani; Sivakumar, K. C. On partial orders of Hilbert space operators. (English) Zbl 1333.47007 Linear Multilinear Algebra 63, No. 7, 1423-1441 (2015). Reviewer: Maryam Khosravi (Kerman) MSC: 47A05 06A06 15A09 PDFBibTeX XMLCite \textit{S. Jose} and \textit{K. C. Sivakumar}, Linear Multilinear Algebra 63, No. 7, 1423--1441 (2015; Zbl 1333.47007) Full Text: DOI
Sushama, Agrawal N.; Premakumari, K.; Sivakumar, K. C. Extensions of Perron-Frobenius splittings and relationships with nonnegative Moore-Penrose inverses. (English) Zbl 1307.15009 Linear Multilinear Algebra 63, No. 1, 1-11 (2015). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{A. N. Sushama} et al., Linear Multilinear Algebra 63, No. 1, 1--11 (2015; Zbl 1307.15009) Full Text: DOI
Kannan, M. Rajesh; Sivakumar, K. C. Intervals of certain classes of \(Z\)-matrices. (English) Zbl 1463.15015 Discuss. Math., Gen. Algebra Appl. 34, No. 1, 85-93 (2014). MSC: 15A10 15A24 15A45 PDFBibTeX XMLCite \textit{M. R. Kannan} and \textit{K. C. Sivakumar}, Discuss. Math., Gen. Algebra Appl. 34, No. 1, 85--93 (2014; Zbl 1463.15015) Full Text: DOI
Shivakumar, P. N. (ed.); Psarrakos, Panayiotis J. (ed.); Sivakumar, K. C. (ed.); Zhang, Yang (ed.); da Fonseca, Carlos M. (ed.) Editorial. Advances in matrices, finite and infinite, with applications 2014. (English) Zbl 1481.00029 J. Appl. Math. 2014, Article ID 518487, 1 p. (2014). MSC: 00B15 15-06 PDFBibTeX XMLCite \textit{P. N. Shivakumar} (ed.) et al., J. Appl. Math. 2014, Article ID 518487, 1 p. (2014; Zbl 1481.00029) Full Text: DOI
Sushama, Agrawal N.; Premakumari, K.; Sivakumar, K. C. Singular \(M\)-matrices which may not have a nonnegative generalized inverse. (English) Zbl 1307.15010 Spec. Matrices 2, 165-179 (2014). MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{A. N. Sushama} et al., Spec. Matrices 2, 165--179 (2014; Zbl 1307.15010) Full Text: DOI
Kannan, M. Rajesh; Sivakumar, K. C. \(P_{\dagger}\)-matrices: a generalization of \(P\)-matrices. (English) Zbl 1318.15003 Linear Multilinear Algebra 62, No. 1, 1-12 (2014). Reviewer: Chen Sheng (Harbin) MSC: 15A09 PDFBibTeX XMLCite \textit{M. R. Kannan} and \textit{K. C. Sivakumar}, Linear Multilinear Algebra 62, No. 1, 1--12 (2014; Zbl 1318.15003) Full Text: DOI
Sivakumar, Koratti Chengalrayan A class of singular \(R_0\)-matrices and extensions to semidefinite linear complementarity problems. (English) Zbl 1299.90349 Yugosl. J. Oper. Res. 23, No. 2, 163-172 (2013). MSC: 90C33 15A09 PDFBibTeX XMLCite \textit{K. C. Sivakumar}, Yugosl. J. Oper. Res. 23, No. 2, 163--172 (2013; Zbl 1299.90349) Full Text: DOI
Jose, Shani; Sivakumar, K. C. On inverse-positivity of sub-direct sums of matrices. (English) Zbl 1283.15108 Linear Algebra Appl. 439, No. 6, 1670-1677 (2013). MSC: 15B48 15A09 PDFBibTeX XMLCite \textit{S. Jose} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 439, No. 6, 1670--1677 (2013; Zbl 1283.15108) Full Text: DOI
Jeyaraman, I.; Sivakumar, K. C.; Vetrivel, V. Stein linear programs over symmetric cones. (English) Zbl 1282.90094 Int. Game Theory Rev. 15, No. 4, Article ID 1340033, 14 p. (2013). MSC: 90C05 90C25 90C33 15A09 PDFBibTeX XMLCite \textit{I. Jeyaraman} et al., Int. Game Theory Rev. 15, No. 4, Article ID 1340033, 14 p. (2013; Zbl 1282.90094) Full Text: DOI
Sivakumar, K. C. Nonnegative generalized inverses and certain subclasses of singular \(Q\)-matrices. (English) Zbl 1281.15003 Linear Algebra Appl. 438, No. 12, 4701-4708 (2013). MSC: 15A09 90C33 PDFBibTeX XMLCite \textit{K. C. Sivakumar}, Linear Algebra Appl. 438, No. 12, 4701--4708 (2013; Zbl 1281.15003) Full Text: DOI
Jose, Shani; Sivakumar, K. C. Moore-Penrose inverse of perturbed operators on Hilbert spaces. (English) Zbl 1282.47011 Bapat, Ravindra B.(ed.) et al., Combinatorial matrix theory and generalized inverses of matrices. New Delhi: Springer (ISBN 978-81-322-1052-8/hbk; 978-81-322-1053-5/ebook). 119-131 (2013). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A55 15A09 PDFBibTeX XMLCite \textit{S. Jose} and \textit{K. C. Sivakumar}, in: Combinatorial matrix theory and generalized inverses of matrices. New Delhi: Springer. 119--131 (2013; Zbl 1282.47011) Full Text: DOI
Jose, Shani; Sivakumar, K. C. On nonnegative Moore-Penrose inverses of perturbed matrices. (English) Zbl 1266.15008 J. Appl. Math. 2013, Article ID 680975, 7 p. (2013). MSC: 15A09 PDFBibTeX XMLCite \textit{S. Jose} and \textit{K. C. Sivakumar}, J. Appl. Math. 2013, Article ID 680975, 7 p. (2013; Zbl 1266.15008) Full Text: DOI
Sushama, Agarwal N.; Premakumari, K.; Sivakumar, K. C. Weak monotonicity of interval matrices. (English) Zbl 1283.65048 Electron. J. Linear Algebra 25, 92-101 (2012). MSC: 65G30 15A09 15B48 PDFBibTeX XMLCite \textit{A. N. Sushama} et al., Electron. J. Linear Algebra 25, 92--101 (2012; Zbl 1283.65048) Full Text: DOI Link
Mishra, Debasisha; Sivakumar, K. C. A dominance notion for singular matrices with applications to nonnegative generalized inverses. (English) Zbl 1261.15007 Linear Multilinear Algebra 60, No. 8, 911-920 (2012). Reviewer: Chen Sheng (Harbin) MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{D. Mishra} and \textit{K. C. Sivakumar}, Linear Multilinear Algebra 60, No. 8, 911--920 (2012; Zbl 1261.15007) Full Text: DOI
Sushama, Agarwal N.; Premakumari, K.; Sivakumar, K. C. Weak monotonicity of matrices and subclasses of proper splittings. (English) Zbl 1253.15009 Electron. J. Linear Algebra 24, 83-94 (2012). MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{A. N. Sushama} et al., Electron. J. Linear Algebra 24, 83--94 (2012; Zbl 1253.15009) Full Text: DOI Link Link
Mishra, Debasisha; Sivakumar, K. C. On splittings of matrices and nonnegative generalized inverses. (English) Zbl 1247.15003 Oper. Matrices 6, No. 1, Article ID 06, 85-95 (2012). MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{D. Mishra} and \textit{K. C. Sivakumar}, Oper. Matrices 6, No. 1, Article ID 06, 85--95 (2012; Zbl 1247.15003) Full Text: Link
Mishra, D.; Sivakumar, K. C. Generalizations of matrix monotonicity and their relationships with certain subclasses of proper splittings. (English) Zbl 1236.15010 Linear Algebra Appl. 436, No. 7, 2604-2614 (2012). MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{D. Mishra} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 436, No. 7, 2604--2614 (2012; Zbl 1236.15010) Full Text: DOI
Rajesh Kannan, M.; Sivakumar, K. C. Moore-Penrose inverse positivity of interval matrices. (English) Zbl 1236.15012 Linear Algebra Appl. 436, No. 3, 571-578 (2012). Reviewer: Günter Mayer (Rostock) MSC: 15A09 65G30 PDFBibTeX XMLCite \textit{M. Rajesh Kannan} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 436, No. 3, 571--578 (2012; Zbl 1236.15012) Full Text: DOI
Mishra, Debasisha; Sivakumar, K. C. Nonnegative generalized inverses and least elements of polyhedral sets. (English) Zbl 1213.15006 Linear Algebra Appl. 434, No. 12, 2448-2455 (2011). Reviewer: K. C. Sivakumar (Chennai) MSC: 15A09 15B48 90C05 90C33 PDFBibTeX XMLCite \textit{D. Mishra} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 434, No. 12, 2448--2455 (2011; Zbl 1213.15006) Full Text: DOI
Jayaraman, Sachindranath; Sivakumar, K. C. Matrix interval monotonicity. (English) Zbl 1193.15032 Demonstr. Math. 43, No. 1, 1-10 (2010). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15B48 15A09 PDFBibTeX XMLCite \textit{S. Jayaraman} and \textit{K. C. Sivakumar}, Demonstr. Math. 43, No. 1, 1--10 (2010; Zbl 1193.15032) Full Text: DOI
Ramanathan, K.; Sivakumar, K. C. Nonnegative Moore-Penrose inverse of Gram matrices in an indefinite inner product space. (English) Zbl 1176.15007 J. Optim. Theory Appl. 140, No. 1, 189-196 (2009). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A09 15A63 15B48 PDFBibTeX XMLCite \textit{K. Ramanathan} and \textit{K. C. Sivakumar}, J. Optim. Theory Appl. 140, No. 1, 189--196 (2009; Zbl 1176.15007) Full Text: DOI
Sivakumar, K. C. A new characterization of nonnegativity of Moore-Penrose inverses of Gram operators. (English) Zbl 1161.15004 Positivity 13, No. 1, 277-286 (2009). Reviewer: Mohammad Sal Moslehian (Mashhad) (MR2466243) MSC: 15A09 15B48 47A05 15A60 PDFBibTeX XMLCite \textit{K. C. Sivakumar}, Positivity 13, No. 1, 277--286 (2009; Zbl 1161.15004) Full Text: DOI
Shivakumar, P. N.; Sivakumar, K. C. A review of infinite matrices and their applications. (English) Zbl 1168.15023 Linear Algebra Appl. 430, No. 4, 976-998 (2009). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 15B57 15-02 15A18 15A09 34B30 65L10 35P05 65N25 PDFBibTeX XMLCite \textit{P. N. Shivakumar} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 430, No. 4, 976--998 (2009; Zbl 1168.15023) Full Text: DOI
Kamaraj, K.; Kurmayya, T.; Sivakumar, K. C. On characterizations of nonnegative Moore-Penrose inverses of Hilbert space operators. (English) Zbl 1217.47006 J. Anal. 16, 11-18 (2008). MSC: 47A05 15A09 15B48 47B65 PDFBibTeX XMLCite \textit{K. Kamaraj} et al., J. Anal. 16, 11--18 (2008; Zbl 1217.47006)
Kurmayya, Tamminana; Sivakumar, Koratti C. Positive splittings of matrices and their nonnegative Moore-Penrose inverses. (English) Zbl 1193.15001 Discuss. Math., Gen. Algebra Appl. 28, No. 2, 227-235 (2008). MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{T. Kurmayya} and \textit{K. C. Sivakumar}, Discuss. Math., Gen. Algebra Appl. 28, No. 2, 227--235 (2008; Zbl 1193.15001) Full Text: DOI Link
Kurmayya, T.; Sivakumar, K. C. Moore-Penrose inverse of a Gram matrix and its nonnegativity. (English) Zbl 1173.15001 J. Optim. Theory Appl. 139, No. 1, 201-207 (2008). Reviewer: Jinhai Chen (Hongkong) MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{T. Kurmayya} and \textit{K. C. Sivakumar}, J. Optim. Theory Appl. 139, No. 1, 201--207 (2008; Zbl 1173.15001) Full Text: DOI
Kurmayya, T.; Sivakumar, K. C. Nonnegative Moore–Penrose inverses of operators over Hilbert spaces. (English) Zbl 1169.47003 Positivity 12, No. 3, 475-481 (2008). Reviewer: Bahmann Yousefi (Shiraz) MSC: 47A05 47B37 15A09 PDFBibTeX XMLCite \textit{T. Kurmayya} and \textit{K. C. Sivakumar}, Positivity 12, No. 3, 475--481 (2008; Zbl 1169.47003) Full Text: DOI
Jayaraman, Sachindranath; Sivakumar, K. C. Weak monotonicity of \(A\) versus \(\{1\}\)-inverses nonnegative on the range space of \(A\). (English) Zbl 1132.15005 Linear Algebra Appl. 427, No. 2-3, 171-175 (2007). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 PDFBibTeX XMLCite \textit{S. Jayaraman} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 427, No. 2--3, 171--175 (2007; Zbl 1132.15005) Full Text: DOI
Kurmayya, T.; Sivakumar, K. C. Nonnegative Moore–Penrose inverses of Gram operators. (English) Zbl 1122.15007 Linear Algebra Appl. 422, No. 2-3, 471-476 (2007). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A09 15B48 47A05 47B65 PDFBibTeX XMLCite \textit{T. Kurmayya} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 422, No. 2--3, 471--476 (2007; Zbl 1122.15007) Full Text: DOI
Jayaraman, Sachindranath; Sivakumar, K. C. Some aspects of weak monotonicity. (English) Zbl 1201.47040 J. Anal. 14, 215-225 (2006). MSC: 47B60 15B48 47A05 15A09 PDFBibTeX XMLCite \textit{S. Jayaraman} and \textit{K. C. Sivakumar}, J. Anal. 14, 215--225 (2006; Zbl 1201.47040)
Sivakumar, K. C. Proof by verification of the Greville/Udwadia/Kalaba formula for the Moore-Penrose inverse of a matrix. (English) Zbl 1147.15301 J. Optim. Theory Appl. 131, No. 2, 307-311 (2006). MSC: 15A09 PDFBibTeX XMLCite \textit{K. C. Sivakumar}, J. Optim. Theory Appl. 131, No. 2, 307--311 (2006; Zbl 1147.15301) Full Text: DOI
Saranya, C. R.; Sivakumar, K. C. Generalized inverses of an invertible infinite matrix over a finite field. (English) Zbl 1109.15002 Linear Algebra Appl. 418, No. 2-3, 468-479 (2006). Reviewer: Nestor Thome (Valencia) MSC: 15A09 15B33 PDFBibTeX XMLCite \textit{C. R. Saranya} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 418, No. 2--3, 468--479 (2006; Zbl 1109.15002) Full Text: DOI
Sivakumar, K. C. Generalized inverses of an invertible infinite matrix. (English) Zbl 1094.15002 Linear Multilinear Algebra 54, No. 2, 113-122 (2006). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 PDFBibTeX XMLCite \textit{K. C. Sivakumar}, Linear Multilinear Algebra 54, No. 2, 113--122 (2006; Zbl 1094.15002) Full Text: DOI
Sivakumar, K. C. Moore–Penrose inverse of an invertible infinite matrix. (English) Zbl 1089.15005 Linear Multilinear Algebra 54, No. 1, 71-77 (2006). Reviewer: Nestor Thome (Valencia) MSC: 15A09 PDFBibTeX XMLCite \textit{K. C. Sivakumar}, Linear Multilinear Algebra 54, No. 1, 71--77 (2006; Zbl 1089.15005) Full Text: DOI
Kamaraj, K.; Sivakumar, K. C. Moore-Penrose inverse in an indefinite inner product space. (English) Zbl 1085.15005 J. Appl. Math. Comput. 19, No. 1-2, 297-310 (2005). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 15A03 15B57 15A63 PDFBibTeX XMLCite \textit{K. Kamaraj} and \textit{K. C. Sivakumar}, J. Appl. Math. Comput. 19, No. 1--2, 297--310 (2005; Zbl 1085.15005) Full Text: DOI
Kulkarni, S. H.; Sivakumar, K. C. Three types of operator monotonicity. (English) Zbl 1079.15020 J. Anal. 12, 153-163 (2004). Reviewer: Václav Burjan (Praha) MSC: 15B48 47B37 15A09 47B65 PDFBibTeX XMLCite \textit{S. H. Kulkarni} and \textit{K. C. Sivakumar}, J. Anal. 12, 153--163 (2004; Zbl 1079.15020)
Kamaraj, K.; Sivakumar, K. C. Spectral theorem for normal matrices in an indefinite inner product space. (English) Zbl 1080.15011 J. Anal. 12, 143-152 (2004). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 15A09 15A23 15B57 PDFBibTeX XMLCite \textit{K. Kamaraj} and \textit{K. C. Sivakumar}, J. Anal. 12, 143--152 (2004; Zbl 1080.15011)
Kamaraj, K.; Ramanathan, K.; Sivakumar, K. C. Indefinite product of matrices and applications to indefinite inner product spaces. (English) Zbl 1097.47002 J. Anal. 12, 135-142 (2004). Reviewer: Hong-Ke Du (Xi’an) MSC: 47A05 47B50 46C20 15A09 PDFBibTeX XMLCite \textit{K. Kamaraj} et al., J. Anal. 12, 135--142 (2004; Zbl 1097.47002)
Sivakumar, K. C. Nonnegative generalized inverses. (English) Zbl 0889.15003 Indian J. Pure Appl. Math. 28, No. 7, 939-942 (1997). Reviewer: R.Ursianu (Bucureşti) MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{K. C. Sivakumar}, Indian J. Pure Appl. Math. 28, No. 7, 939--942 (1997; Zbl 0889.15003)